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Finding the Fourth Proportional to 981.86, 1,354.28 and 608.18

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Solution

The fourth proportional to 981.86, 1,354.28 and 608.18 is: 838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.86 : 1,354.28 = 608.18 : x
  2. Step 2: Convert to fraction form
    981.86/1,354.28 = 608.18/x
  3. Step 3: Cross multiply
    981.86x = 1,354.28 × 608.18
  4. Step 4: Simplify right side
    981.86x = 823,636.20
  5. Step 5: Solve for x
    x = 823,636.20/981.86
  6. Step 6: Final answer
    x = 838.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.